Note on the improvement of Newton’s method for system of nonlinear equations

In this note, we are concerned with the further study for a significant improvement on Newton’s iterative method proposed by Wu [Xinyuan Wu, A new continuation Newton-like method and its deformation, Appl. Math. Comput. 112 (2000) 75–78]. We present a natural extension and development of the improvement on Newton’s method for system of nonlinear equation. The convergence is presented and the numerical results are given to show the efficiency of the extended method for system of nonlinear equations.